Pre Public Examination - Castleford Academy Papers/PiXL PPE March Ede… · Pre Public Examination GCSE Mathematics (Edexcel style) March 2017 Higher Tier Paper 3H ... When will a
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Pre Public Examination GCSE Mathematics (Edexcel style) March 2017 Higher Tier Paper 3H
Name ……………………………………………………………… Class ………………………………………………………………
TIME ALLOWED 1 hour 30 minutes INSTRUCTIONS TO CANDIDATES • Answer all the questions. • Read each question carefully. Make sure you know what you have to
do before starting your answer. • You are permitted to use a calculator in this paper. • Do all rough work in this book. INFORMATION FOR CANDIDATES • The number of marks is given in brackets [ ] at the end of each
question or part question on the Question Paper. • You are reminded of the need for clear presentation in your
You must write down all the stages in your working. Question 1.
Trains to Slough leave Reading Station every 26 minutes. Trains to Southall leave the same train station every 10 minutes. A train to Slough and a train to Southall both leave the train station at 9:30 a.m. When will a train to Slough and a train to Southall next leave the train station at the same time?
Timothy, Jane and Sarah share £275. The ratio of the amount of money Timothy gets to the amount of money Sarah gets is 1 : 5 Timothy gets £96 less than Sarah gets. What percentage of the £275 does Jane get? Give your answer to 3sf.
The Rail Company increased all prices of train tickets by 2 %. The cost of a return ticket from Birmingham to Banbury increased by £1.20. Work out the price of the ticket before the increase.
There are 5 banana smoothies and 4 apple smoothies in a box.
Mostafa takes ‘at random’ one smoothie from the box. He writes down its flavour, and puts it back in the box. Mostafa then takes ‘at random’ a second smoothie from the box.
(a) Complete the probability tree diagram.
(2)
(b) Work out the probability that both smoothies are apple flavour.
The diagram shows the floor plan of Olivia’s dining room.
Olivia is going to cover the floor with wooden floorboards.
The floorboards are sold in packs. A pack of floorboards costs £14.60 and will cover 2.25 m2 of floor. (a) Work out the cost of buying enough floorboards to cover the dining room.
Martha recorded the times in seconds, some girls and boys took to find a word in the dictionary. The box plot below shows the distribution of the times it took the girls to find the word in the dictionary.
The diagram shows a piece of wood cut in the shape of a triangular prism.
The piece of wood is 5 cm by 12 cm by 2.3 m. The mass of the piece of wood is 6.5 kg. The piece of wood will float in sea water if the density of the wood is less than the density of the sea water. In a large pool, 1 litre of sea water has a mass of 980 g. Will the piece of wood float in this pool? You must show how you get your answer.
(Total 4 marks)
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Question 15.
David invested £2800 in a savings account. He was paid x % per annum compound interest. The interest is paid into the account at the end of each year. At the end of 3 years, the amount of money in the savings account is £3241.35. Work out the value of x.
r = 3.74 correct to 2 decimal places. s = 8.123 correct to 3 decimal places. By considering bounds, work out the value of n to a suitable degree of accuracy. Give a reason for your answer.
The cylinder has base radius 2x cm and height h cm. The metal cylinder is melted. All the metal is then used to make 162 spheres. Each sphere has a radius of &
'𝑥 cm.
Find an expression, in its simplest form, for h in terms of x.
CD is perpendicular to both CA and CB. Angle CBD = 39° Angle ADB = 45° Angle DBA = 55° BC = 18 cm. Calculate the size of the angle between the line AD and the plane ABC. Give your answer correct to 1 decimal place.